Search a number
-
+
601131213 = 36978501
BaseRepresentation
bin100011110101001…
…000100011001101
31112220010122000000
4203311020203031
52212342144323
6135352154513
720616350064
oct4365104315
91486118000
10601131213
11289360861
12149398a39
1397703757
1459b9d1db
1537b92e43
hex23d488cd

601131213 has 28 divisors (see below), whose sum is σ = 910683228. Its totient is φ = 396576000.

The previous prime is 601131173. The next prime is 601131229. The reversal of 601131213 is 312131106.

It can be written as a sum of positive squares in 2 ways, for example, as 145009764 + 456121449 = 12042^2 + 21357^2 .

It is not a de Polignac number, because 601131213 - 224 = 584353997 is a prime.

It is a super-2 number, since 2×6011312132 = 722717470485702738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601131263) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66463 + ... + 74963.

It is an arithmetic number, because the mean of its divisors is an integer number (32524401).

Almost surely, 2601131213 is an apocalyptic number.

It is an amenable number.

601131213 is a deficient number, since it is larger than the sum of its proper divisors (309552015).

601131213 is an frugal number, since it uses more digits than its factorization.

601131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 601131213 is about 24517.9773431660. The cubic root of 601131213 is about 843.9623891995.

Adding to 601131213 its reverse (312131106), we get a palindrome (913262319).

The spelling of 601131213 in words is "six hundred one million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 97 243 291 729 873 2619 7857 8501 23571 25503 70713 76509 229527 688581 824597 2065743 2473791 6197229 7421373 22264119 66792357 200377071 601131213